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Finding the Fourth Proportional to 7.75, 10.64 and 7.61

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Solution

The fourth proportional to 7.75, 10.64 and 7.61 is: 10.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 10.64 = 7.61 : x
  2. Step 2: Convert to fraction form
    7.75/10.64 = 7.61/x
  3. Step 3: Cross multiply
    7.75x = 10.64 × 7.61
  4. Step 4: Simplify right side
    7.75x = 80.97
  5. Step 5: Solve for x
    x = 80.97/7.75
  6. Step 6: Final answer
    x = 10.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.